λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,222,006
8,222,006
2 × 13 × 31 × 1012
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 31 × 101^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,847,232
Proper Divisor Sum 5,625,226
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #8221991 ← → #8222009

Radix Representation

Decimal 8222006
Binary 11111010111010100110110 (23 bits)
Octal 0o37272466
Hexadecimal 0x7D7536

Divisor Catalog (24)

1 2 13 26 31 62 101 202 403 806 1,313 2,626 3,131 6,262 10,201 20,402 40,703 81,406 132,613 265,226 316,231 632,462 4,111,003 8,222,006

Collatz Trajectory (191 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,222,006 4,111,003 12,333,010 6,166,505 18,499,516 9,249,758 4,624,879 13,874,638 6,937,319 20,811,958 10,405,979 31,217,938 15,608,969 46,826,908 23,413,454 11,706,727 35,120,182 17,560,091 52,680,274 26,340,137 79,020,412 39,510,206 19,755,103 59,265,310 29,632,655 88,897,966 44,448,983 133,346,950 66,673,475 200,020,426 100,010,213 300,030,640 150,015,320 75,007,660 37,503,830 18,751,915 56,255,746 28,127,873 84,383,620 42,191,810 21,095,905 63,287,716 31,643,858 15,821,929 47,465,788 23,732,894 11,866,447 35,599,342 17,799,671 53,399,014 26,699,507 80,098,522 40,049,261 120,147,784 60,073,892 30,036,946 15,018,473 45,055,420 22,527,710 11,263,855

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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